| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.71 |
| Score | 0% | 54% |
Factor y2 + y - 56
| (y - 7)(y - 8) | |
| (y + 7)(y + 8) | |
| (y + 7)(y - 8) | |
| (y - 7)(y + 8) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -56 as well and sum (Inside, Outside) to equal 1. For this problem, those two numbers are -7 and 8. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + y - 56
y2 + (-7 + 8)y + (-7 x 8)
(y - 7)(y + 8)
Simplify (y + 9)(y - 3)
| y2 - 12y + 27 | |
| y2 - 6y - 27 | |
| y2 + 12y + 27 | |
| y2 + 6y - 27 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 9)(y - 3)
(y x y) + (y x -3) + (9 x y) + (9 x -3)
y2 - 3y + 9y - 27
y2 + 6y - 27
The formula for the area of a circle is which of the following?
c = π d |
|
c = π r2 |
|
c = π d2 |
|
c = π r |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
The dimensions of this cube are height (h) = 5, length (l) = 4, and width (w) = 3. What is the volume?
| 36 | |
| 25 | |
| 180 | |
| 60 |
The volume of a cube is height x length x width:
v = h x l x w
v = 5 x 4 x 3
v = 60
The dimensions of this trapezoid are a = 4, b = 2, c = 6, d = 3, and h = 3. What is the area?
| 9 | |
| 7\(\frac{1}{2}\) | |
| 24 | |
| 7 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(2 + 3)(3)
a = ½(5)(3)
a = ½(15) = \( \frac{15}{2} \)
a = 7\(\frac{1}{2}\)